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212212100010102 = 232943241997118043
BaseRepresentation
bin110000010000000101111010…
…110101101001000001110110
31000211101021112010022001021120
4300100011322311221001312
5210303340340100310402
62031200520510524410
762461550444554443
oct6020057265510166
91024337463261246
10212212100010102
1161687712108aa5
121b974162b06706
139154690a7a70a
143a591986d69ca
1519801cc85c3bc
hexc1017ad69076

212212100010102 has 128 divisors (see below), whose sum is σ = 451590712911360. Its totient is φ = 66365818767360.

The previous prime is 212212100010101. The next prime is 212212100010107. The reversal of 212212100010102 is 201010001212212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212212100010101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1797693493 + ... + 1797811535.

It is an arithmetic number, because the mean of its divisors is an integer number (3528052444620).

Almost surely, 2212212100010102 is an apocalyptic number.

212212100010102 is an abundant number, since it is smaller than the sum of its proper divisors (239378612901258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212212100010102 is a wasteful number, since it uses less digits than its factorization.

212212100010102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119358.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212212100010102 its reverse (201010001212212), we get a palindrome (413222101222314).

The spelling of 212212100010102 in words is "two hundred twelve trillion, two hundred twelve billion, one hundred million, ten thousand, one hundred two".

Divisors: 1 2 3 6 29 43 58 86 87 129 174 241 258 482 723 997 1247 1446 1994 2494 2991 3741 5982 6989 7482 10363 13978 20726 20967 28913 31089 41934 42871 57826 62178 85742 86739 118043 128613 173478 236086 240277 257226 300527 354129 480554 601054 708258 720831 901581 1243259 1441662 1803162 2486518 3423247 3729777 5075849 6846494 6968033 7459554 10151698 10269741 10331911 13936066 15227547 20539482 20663822 20904099 28448363 30455094 30995733 41808198 56896726 61991466 85345089 117688871 147199621 170690178 235377742 294399242 299625419 353066613 441598863 599250838 706133226 825002527 883197726 898876257 1223279609 1650005054 1797752514 2446559218 2475007581 3412977259 3669838827 4950015162 5060621453 6825954518 7339677654 10121242906 10238931777 15181864359 20477863554 28363017911 30363728718 35475108661 56726035822 70950217322 85089053733 106425325983 146758022137 170178107466 212850651966 293516044274 440274066411 822527519419 880548132822 1219609770173 1645055038838 2439219540346 2467582558257 3658829310519 4935165116514 7317658621038 35368683335017 70737366670034 106106050005051 212212100010102